Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - 1-5 Adding and Subtracting Real Numbers - Practice and Problem-Solving Exercises: 65

Answer

$-|m|=|-m|$ is sometimes true.

Work Step by Step

The negative (opposite) of an absolute value will always be negative, while an absolute value will never be negative. The only time this equation is true is when m is 0, since 0 and -0 have the same value. For example, let m=-5. $-|-5|\overset?=|-(-5)|$ $ -5\ne5$ For example, let m=0. $-|0|\overset?=|-0|$ $ -0=0$
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